Abstract
In [1] and [4] we defined the elliptic curve over the ring F3d [ε], ε2 = 0. In this work, we will study the elliptic curve over the ring A = F2d [ε], where d is a positive integer and ε2= 0. More precisely we will establish a group homomorphism between the abulia group (Ea,b,c(F2d ), +) and (F2d, +).
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